\begin{tikzpicture}
    \tkzDefPoints{0/0/C, 3/0/B}
    \tkzDefTriangle[two angles=70 and 50](C,B)  \tkzGetPoint{A}
    \tkzDefPointBy[rotation=center C angle -50](A)  \tkzGetPoint{p}
    \tkzInterLL(C,p)(A,B)  \tkzGetPoint{P}

    \tkzDrawPolygon(A,B,C)
    \tkzDrawSegment(C,P)
    \extkzLabelAngel[0.4](P,C,A){$1$}
    \tkzLabelPoints[above](A)
    \tkzLabelPoints[left](C)
    \tkzLabelPoints[right](B,P)
\end{tikzpicture}

